There were several single edge razors that used double edge blades. This is one of them. I do not know whether this was an early prototype or a model from a company that there is not a lot of information on.

I went through Waits Compendium and found a very similar razor type. Here is a razor that used a three hole that would handle a double edge blade.

I don't know whether this company made different variants but what you have is an unusual but unidentified razor.